In this article, we propose a new smoothing inexact Newton algorithm for solving nonlinear complementarity problems (NCP) base on the smoothed Fischer-Burmeister function. In each iteration, the corresponding linear system is solved only approximately. The global convergence and local superlinear co
A new smoothing quasi-Newton method for nonlinear complementarity problems
✍ Scribed by Sandra Buhmiler; Nataša Krejić
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 196 KB
- Volume
- 211
- Category
- Article
- ISSN
- 0377-0427
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✦ Synopsis
A new smoothing quasi-Newton method for nonlinear complementarity problems is presented. The method is a generalization of Thomas' method for smooth nonlinear systems and has similar properties as Broyden's method. Local convergence is analyzed for a strictly complementary solution as well as for a degenerate solution. Presented numerical results demonstrate quite similar behavior of Thomas' and Broyden's methods.
📜 SIMILAR VOLUMES
## Communicated by J. Cash In this paper, we present a new one-step smoothing Newton method for solving the second-order cone complementarity problem (SOCCP). Based on a new smoothing function, the SOCCP is approximated by a family of parameterized smooth equations. At each iteration, the proposed
This paper discusses nonlinear complementarity problems; its goal is to present a globally and superlinearly convergent algorithm for the discussed problems. Filter methods are extensively studied to handle nonlinear complementarity problem. Because of good numerical results, filter techniques are a